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arXiv · 1512.03051

Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order

Erik Forseth·Charles R. Evans·Seth Hopper
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Abstract

We present new results through 7PN order on the energy flux from eccentric extreme-mass-ratio binaries. The black hole perturbation calculations are made at very high accuracy (200 decimal places) using a Mathematica code based on the Mano-Suzuki-Takasugi (MST) analytic function expansion formalism. All published coefficients in the expansion through 3PN order are confirmed and new analytic and numeric terms are found to high order in $e^2$ at orders between 3.5PN and 7PN. We also show original work in finding (nearly) arbitrarily accurate expansions for hereditary terms at 1.5PN, 2.5PN, and 3PN orders. We fit to a model where at each PN order an eccentricity singular function is factored out, improving substantially the fit even as $e \to 1$.

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Erik Forseth, Charles R. Evans, Seth Hopper. 2015-12-09. Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order. https://doi.org/10.1103/physrevd.93.064058

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